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A198768 9*5^n-1. 1
8, 44, 224, 1124, 5624, 28124, 140624, 703124, 3515624, 17578124, 87890624, 439453124, 2197265624, 10986328124, 54931640624, 274658203124, 1373291015624, 6866455078124, 34332275390624, 171661376953124, 858306884765624 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index to sequences with linear recurrences with constant coefficients, signature (6,-5).

FORMULA

a(n) = 5*a(n-1)+4.

a(n) = 6*a(n-1)-5*a(n-2), n>1.

G.f.: (8 - 4*x)/(1 - 6*x + 5*x^2). - Vincenzo Librandi, Jan 03 2013

MATHEMATICA

9 5^Range[0, 20] - 1 (* or *) LinearRecurrence[{6, -5}, {8, 44}, 20] (* Harvey P. Dale, Nov 01 2011 *)

CoefficientList[Series[(8 - 4 x)/(1 - 6 x + 5 x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 03 2013 *)

PROG

(MAGMA) [9*5^n-1: n in [0..30]];

CROSSREFS

Cf. A024049, A057651, A081655.

Sequence in context: A000373 A176688 A197213 * A082762 A249794 A147828

Adjacent sequences:  A198765 A198766 A198767 * A198769 A198770 A198771

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Oct 30 2011

STATUS

approved

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Last modified December 20 01:21 EST 2014. Contains 252240 sequences.